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  1. \setlength\subproofhorizspace{1em}
  2. \begin{logicproof}{0}
  3. x = g(y) & prem.\\
  4. f(g(y)) = z & prem.\\
  5. f(x) = y & prem.\\
  6. f(x) = z & $= \mathrm{e}$ 2,1\\
  7. y = z & $= \mathrm{e}$ 4,3
  8. \end{logicproof}